(x-2)=4(4+x)

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Solution for (x-2)=4(4+x) equation:


Simplifying
(x + -2) = 4(4 + x)

Reorder the terms:
(-2 + x) = 4(4 + x)

Remove parenthesis around (-2 + x)
-2 + x = 4(4 + x)
-2 + x = (4 * 4 + x * 4)
-2 + x = (16 + 4x)

Solving
-2 + x = 16 + 4x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-4x' to each side of the equation.
-2 + x + -4x = 16 + 4x + -4x

Combine like terms: x + -4x = -3x
-2 + -3x = 16 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + -3x = 16 + 0
-2 + -3x = 16

Add '2' to each side of the equation.
-2 + 2 + -3x = 16 + 2

Combine like terms: -2 + 2 = 0
0 + -3x = 16 + 2
-3x = 16 + 2

Combine like terms: 16 + 2 = 18
-3x = 18

Divide each side by '-3'.
x = -6

Simplifying
x = -6

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